Question
If A=⎡⎢⎣123−23−1312⎤⎥⎦ and I is a unit matrix of 3rd order, then
(A2+9I) equals
(A2+9I) equals
Answer: Option D
:
D
A=⎡⎢⎣123−23−1312⎤⎥⎦⇒A.A=A2=⎡⎢⎣6117−114−1171112⎤⎥⎦,
I=⎡⎢⎣100010001⎤⎥⎦, then, A2+9I=⎡⎢⎣15117−1113−1171121⎤⎥⎦.
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:
D
A=⎡⎢⎣123−23−1312⎤⎥⎦⇒A.A=A2=⎡⎢⎣6117−114−1171112⎤⎥⎦,
I=⎡⎢⎣100010001⎤⎥⎦, then, A2+9I=⎡⎢⎣15117−1113−1171121⎤⎥⎦.
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